The harmonic structure of generic Kerr orbits

Details The harmonic structure of generic Kerr orbits The harmonic structure of generic Kerr orbits

2011-05-29

arxiv.org/abs/1105.5811v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 8 figures. Submitted to Phys. Rev. D

Scientific paper

Generic Kerr orbits exhibit intricate three-dimensional motion. We offer a classification scheme for these intricate orbits in terms of periodic orbits. The crucial insight is that for a given effective angular momentum $L$ and angle of inclination $\iota$, there exists a discrete set of orbits that are geometrically $n$-leaf clovers in a precessing {\it orbital plane}. When viewed in the full three dimensions, these orbits are periodic in $r-\theta$. Each $n$-leaf clover is associated with a rational number, $1+q_{r\theta}=\omega_\theta/\omega_r$, that measures the degree of perihelion precession in the precessing orbital plane. The rational number $q_{r\theta}$ varies monotonically with the orbital energy and with the orbital eccentricity. Since any bound orbit can be approximated as near one of these periodic $n$-leaf clovers, this special set offers a skeleton that illuminates the structure of all bound Kerr orbits, in or out of the equatorial plane.

Affiliated with

Also associated with

No associations

Rating

The harmonic structure of generic Kerr orbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The harmonic structure of generic Kerr orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The harmonic structure of generic Kerr orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289994